Quadratics Review

Which of the following determines the axis of symmetry?

•  $\frac{-\ b}{2a}$  

•  $\left(\frac{b}{2}\right)^2$  

Determine the Axis of Symmetry from the equation....

 $x^2\ +\ 4x\ -\ 10$  

• x = 4

• x = - 2

• x = 2

• x = - 10

 $y\ =\ -9x^2\ -\ 5x\ +\ 20$  Identify the y-intercept from the equation....

• y = 6.25

• y = - 9

• y = - 5

• y = 20

Describe all the possible transformations of the equation from f(x) to g(x)
f(x) =
 $x^2$  
g(x) =  $-4\left(x\ -\ 5\right)^2\ +\ 10$  

• Parabola is narrow, moves left 5 and up 10

• Parabola is upside down, wide, moves right 5 and up 10

• Parabola is upside down, narrow, moves right 5 and up 10

• Parabola is upside down, wide, moves left 5 and down 10

 $g\left(x\right)\ =\ -0.25\ \left(x\ +\ 12\right)^2\ -\ 15$  What is the vertex of the equation....

• (0.25, 12)

• (12, - 15)

• (-12, - 15)

• (- 12, 15)

What is the vertex in the graph below.

• (2, - 3)

• x = 2

• (3.5, 0)

• y = 1

What is the y - intercept of the graph?

• y = - 5

• y = - 2

• x = 0 2

 $y\ =\ -16t^2\ +\ 64t\ +\ 100$  
The equation above represents a falling object.  After how many seconds will the object be at its max height?

• t = 64 secs

• t = 2 secs

• t = 1/2 sec

• t = 100 secs

 $y=\ -16t^2\ +\ 25t\ +\ 200$  
The above equation represents falling a falling object.  What is the initial height of the falling object?

• 16 feet

• 25 feet

• 200 feet

• 50 feet

 $x^2\ +16\ =\ 0$  Solve.

•  $x=\pm\ 4$  

• No Solution

•  $x\ =\ \pm2$